Question 92

Parimal has done 1/4th of a job in 10 days, Salim completes the rest of the job in 20 days. In how many days can they together do the job?

Solution

Let total work to be done = 80 units

Work done by Parimal in 10 days = $$\frac{1}{4} \times 80 = 20$$ units

Parimal's efficiency = $$\frac{20}{10} = 2$$ units/day

Remaining work = 80 - 20 = 60 units

Salim completes 60 units in 20 days

=> Salim's efficiency = $$\frac{60}{20} = 3$$ units/day

(Parimal + Salim)'s 1 day's work = 2 + 3 = 5 units/day

$$\therefore$$ Time taken by them together to do the job = $$\frac{80}{5} = 16$$ days

=> Ans - (D)


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